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C $Header: /u/gcmpack/MITgcm_contrib/dgoldberg/streamice/streamice_cg_solve.F,v 1.2 2012/05/02 02:36:01 heimbach Exp $ |
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C $Name: $ |
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|
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#include "STREAMICE_OPTIONS.h" |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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CBOP |
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SUBROUTINE STREAMICE_CG_SOLVE( |
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U cg_Uin, |
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U cg_Vin, |
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I cg_Bu, |
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I cg_Bv, |
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I tolerance, |
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O iters, |
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I myThid ) |
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C /============================================================\ |
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C | SUBROUTINE | |
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C | o | |
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C |============================================================| |
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C | | |
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C \============================================================/ |
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IMPLICIT NONE |
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|
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "STREAMICE.h" |
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#include "STREAMICE_CG.h" |
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|
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|
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C !INPUT/OUTPUT ARGUMENTS |
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C cg_Uin, cg_Vin - input and output velocities |
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C cg_Bu, cg_Bv - driving stress |
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INTEGER myThid |
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INTEGER iters |
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_RL tolerance |
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_RL cg_Uin (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg_Vin (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg_Bu (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg_Bv (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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|
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C LOCAL VARIABLES |
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INTEGER i, j, bi, bj, cg_halo, conv_flag |
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INTEGER iter, is, js, ie, je, colx, coly, k |
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_RL dot_p1, dot_p2, resid_0, alpha_k, beta_k, resid |
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_RL dot_p1_tile (nSx,nSy) |
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_RL dot_p2_tile (nSx,nSy) |
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|
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iters = streamice_max_cg_iter |
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|
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#ifdef ALLOW_STREAMICE |
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|
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conv_flag = 0 |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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Zu_SI (i,j,bi,bj) = 0. _d 0 |
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Zv_SI (i,j,bi,bj) = 0. _d 0 |
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DIAGu_SI (i,j,bi,bj) = 0. _d 0 |
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DIAGv_SI (i,j,bi,bj) = 0. _d 0 |
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Ru_SI (i,j,bi,bj) = 0. _d 0 |
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Rv_SI (i,j,bi,bj) = 0. _d 0 |
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Au_SI (i,j,bi,bj) = 0. _d 0 |
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Av_SI (i,j,bi,bj) = 0. _d 0 |
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Du_SI (i,j,bi,bj) = 0. _d 0 |
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Dv_SI (i,j,bi,bj) = 0. _d 0 |
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ubd_SI (i,j,bi,bj) = 0. _d 0 |
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vbd_SI (i,j,bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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C PREAMBLE: get bdry contribution, find matrix diagonal, |
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C initialize iterates R (residual), Z, and D |
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|
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CALL STREAMICE_CG_BOUND_VALS( myThid, |
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O ubd_SI, |
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O vbd_SI) |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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RHSu_SI (i,j,bi,bj) = cg_Bu(i,j,bi,bj) |
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& - ubd_SI(i,j,bi,bj) |
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RHSv_SI (i,j,bi,bj) = cg_Bv(i,j,bi,bj) |
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& - vbd_SI(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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_EXCH_XY_RL( RHSu_SI, myThid ) |
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_EXCH_XY_RL( RHSv_SI, myThid ) |
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|
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CALL STREAMICE_CG_ADIAG( myThid, |
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O DIAGu_SI, |
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O DIAGv_SI) |
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|
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_EXCH_XY_RL( DIAGu_SI, myThid ) |
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_EXCH_XY_RL( DIAGv_SI, myThid ) |
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|
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C FIX PROBLEM WITH PRECOND LATER |
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|
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! DO bj = myByLo(myThid), myByHi(myThid) |
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! DO bi = myBxLo(myThid), myBxHi(myThid) |
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! DO j=1-OLy,sNy+OLy |
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! DO i=1-OLx,sNx+OLx |
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! DIAGu_SI(i,j,bi,bj)=1.0 |
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! DIAGv_SI(i,j,bi,bj)=1.0 |
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! ENDDO |
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! ENDDO |
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! ENDDO |
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! ENDDO |
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|
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CALL STREAMICE_CG_ACTION( myThid, |
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O Au_SI, |
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O Av_SI, |
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I cg_Uin, |
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I cg_Vin, |
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I 0, sNx+1, 0, sNy+1 ) |
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|
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_EXCH_XY_RL( Au_SI, myThid ) |
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_EXCH_XY_RL( Av_SI, myThid ) |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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Ru_SI(i,j,bi,bj)=RHSu_SI(i,j,bi,bj)- |
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& Au_SI(i,j,bi,bj) |
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Rv_SI(i,j,bi,bj)=RHSv_SI(i,j,bi,bj)- |
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& Av_SI(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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dot_p1_tile(bi,bj) = 0. _d 0 |
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dot_p2_tile(bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
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& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Ru_SI(i,j,bi,bj)**2 |
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
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& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Rv_SI(i,j,bi,bj)**2 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
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resid_0 = sqrt(dot_p1) |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
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& Zu_SI(i,j,bi,bj)=Ru_SI(i,j,bi,bj) / DIAGu_SI(i,j,bi,bj) |
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
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& Zv_SI(i,j,bi,bj)=Rv_SI(i,j,bi,bj) / DIAGv_SI(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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|
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cg_halo = min(OLx-1,OLy-1) |
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conv_flag = 0 |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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Du_SI(i,j,bi,bj)=Zu_SI(i,j,bi,bj) |
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Dv_SI(i,j,bi,bj)=Zv_SI(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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resid = resid_0 |
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iters = 0 |
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|
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c !!!!!!!!!!!!!!!!!! |
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c !! !! |
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c !! MAIN CG LOOP !! |
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c !! !! |
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c !!!!!!!!!!!!!!!!!! |
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|
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c ! initially, b-grid data is valid up to 3 halo nodes out -- right? (check for MITgcm!!) |
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|
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print *, "BEGINNING MAIN CG LOOP" |
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|
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! IF(STREAMICE_construct_matrix) CALL STREAMICE_CG_MAKE_A(myThid) |
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#ifdef STREAMICE_CONSTRUCT_MATRIX |
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|
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CALL STREAMICE_CG_MAKE_A(myThid) |
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|
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#endif |
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|
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do iter = 1, streamice_max_cg_iter |
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if (resid .gt. tolerance*resid_0) then |
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|
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c to avoid using "exit" |
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iters = iters + 1 |
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|
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is = 1 - cg_halo |
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ie = sNx + cg_halo |
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js = 1 - cg_halo |
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je = sNy + cg_halo |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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Au_SI(i,j,bi,bj) = 0. _d 0 |
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Av_SI(i,j,bi,bj) = 0. _d 0 |
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! Du_SI(i,j,bi,bj) = Real(i) |
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! Dv_SI(i,j,bi,bj) = 0.0 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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! IF (STREAMICE_construct_matrix) THEN |
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|
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#ifdef STREAMICE_CONSTRUCT_MATRIX |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=js,je |
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DO i=is,ie |
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DO colx=-1,1 |
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DO coly=-1,1 |
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Au_SI(i,j,bi,bj) = Au_SI(i,j,bi,bj) + |
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& streamice_cg_A1(i,j,bi,bj,colx,coly)* |
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& Du_SI(i+colx,j+coly,bi,bj)+ |
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& streamice_cg_A2(i,j,bi,bj,colx,coly)* |
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& Dv_SI(i+colx,j+coly,bi,bj) |
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Av_SI(i,j,bi,bj) = Av_SI(i,j,bi,bj) + |
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& streamice_cg_A3(i,j,bi,bj,colx,coly)* |
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& Du_SI(i+colx,j+coly,bi,bj)+ |
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& streamice_cg_A4(i,j,bi,bj,colx,coly)* |
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& Dv_SI(i+colx,j+coly,bi,bj) |
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ENDDO |
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ENDDO |
256 |
ENDDO |
257 |
ENDDO |
258 |
ENDDO |
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ENDDO |
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|
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! else |
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#else |
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|
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CALL STREAMICE_CG_ACTION( myThid, |
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O Au_SI, |
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O Av_SI, |
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I Du_SI, |
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I Dv_SI, |
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I is,ie,js,je) |
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|
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! ENDIF |
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|
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#endif |
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|
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! ! if (iter.eq.1) then |
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! ! CALL WRITE_FLD_XY_RL ("Au2","",Au_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL ("Av2","",Av_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL ("Du","",Du_SI,0,myThid) |
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! ! |
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! ! CALL WRITE_FLD_XY_RL("Dv","",Au_SI,0,myThid) |
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! ! |
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! ! CALL WRITE_FLD_XY_RL("DiagU1","",Diagu_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagV1","",Diagv_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagU2","", |
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! ! & streamice_cg_A1(i,j,bi,bj,0,0),0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagV2","", |
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! ! & streamice_cg_A4(i,j,bi,bj,0,0),0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagV2","",Diagv_SI,0,myThid) |
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! ! |
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! ! endif |
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|
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|
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|
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|
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|
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! ! if (iter.eq.1) then |
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! ! CALL WRITE_FLD_XY_RL ("Au1","",Au_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL ("Av1","",Av_SI,0,myThid) |
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! ! |
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! ! endif |
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|
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|
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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dot_p1_tile(bi,bj) = 0. _d 0 |
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dot_p2_tile(bi,bj) = 0. _d 0 |
308 |
ENDDO |
309 |
ENDDO |
310 |
|
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DO bj = myByLo(myThid), myByHi(myThid) |
312 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
313 |
DO j=1,sNy |
314 |
DO i=1,sNx |
315 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
316 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zu_SI(i,j,bi,bj)* |
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& Ru_SI(i,j,bi,bj) |
318 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Du_SI(i,j,bi,bj)* |
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& Au_SI(i,j,bi,bj) |
320 |
ENDIF |
321 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
322 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zv_SI(i,j,bi,bj)* |
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& Rv_SI(i,j,bi,bj) |
324 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Dv_SI(i,j,bi,bj)* |
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& Av_SI(i,j,bi,bj) |
326 |
ENDIF |
327 |
ENDDO |
328 |
ENDDO |
329 |
ENDDO |
330 |
ENDDO |
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|
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CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
333 |
CALL GLOBAL_SUM_TILE_RL( dot_p2_tile, dot_p2, myThid ) |
334 |
alpha_k = dot_p1/dot_p2 |
335 |
|
336 |
DO bj = myByLo(myThid), myByHi(myThid) |
337 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
338 |
DO j=1-OLy,sNy+OLy |
339 |
DO i=1-OLx,sNx+OLx |
340 |
|
341 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
342 |
cg_Uin(i,j,bi,bj)=cg_Uin(i,j,bi,bj)+ |
343 |
& alpha_k*Du_SI(i,j,bi,bj) |
344 |
Ru_old_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) |
345 |
Zu_old_SI(i,j,bi,bj) = Zu_SI(i,j,bi,bj) |
346 |
Ru_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj)- |
347 |
& alpha_k*Au_SI(i,j,bi,bj) |
348 |
Zu_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) / |
349 |
& DIAGu_SI(i,j,bi,bj) |
350 |
ENDIF |
351 |
|
352 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
353 |
cg_Vin(i,j,bi,bj)=cg_Vin(i,j,bi,bj)+ |
354 |
& alpha_k*Dv_SI(i,j,bi,bj) |
355 |
Rv_old_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) |
356 |
Zv_old_SI(i,j,bi,bj) = Zv_SI(i,j,bi,bj) |
357 |
Rv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj)- |
358 |
& alpha_k*Av_SI(i,j,bi,bj) |
359 |
Zv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) / |
360 |
& DIAGv_SI(i,j,bi,bj) |
361 |
|
362 |
ENDIF |
363 |
ENDDO |
364 |
ENDDO |
365 |
ENDDO |
366 |
ENDDO |
367 |
|
368 |
DO bj = myByLo(myThid), myByHi(myThid) |
369 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
370 |
dot_p1_tile(bi,bj) = 0. _d 0 |
371 |
dot_p2_tile(bi,bj) = 0. _d 0 |
372 |
ENDDO |
373 |
ENDDO |
374 |
|
375 |
DO bj = myByLo(myThid), myByHi(myThid) |
376 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
377 |
DO j=1,sNy |
378 |
DO i=1,sNx |
379 |
|
380 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
381 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zu_SI(i,j,bi,bj)* |
382 |
& Ru_SI(i,j,bi,bj) |
383 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zu_old_SI(i,j,bi,bj)* |
384 |
& Ru_old_SI(i,j,bi,bj) |
385 |
ENDIF |
386 |
|
387 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
388 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zv_SI(i,j,bi,bj)* |
389 |
& Rv_SI(i,j,bi,bj) |
390 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zv_old_SI(i,j,bi,bj)* |
391 |
& Rv_old_SI(i,j,bi,bj) |
392 |
ENDIF |
393 |
|
394 |
ENDDO |
395 |
ENDDO |
396 |
ENDDO |
397 |
ENDDO |
398 |
|
399 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
400 |
CALL GLOBAL_SUM_TILE_RL( dot_p2_tile, dot_p2, myThid ) |
401 |
|
402 |
beta_k = dot_p1/dot_p2 |
403 |
|
404 |
DO bj = myByLo(myThid), myByHi(myThid) |
405 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
406 |
DO j=1-OLy,sNy+OLy |
407 |
DO i=1-OLx,sNx+OLx |
408 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
409 |
& Du_SI(i,j,bi,bj)=beta_k*Du_SI(i,j,bi,bj)+ |
410 |
& Zu_SI(i,j,bi,bj) |
411 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
412 |
& Dv_SI(i,j,bi,bj)=beta_k*Dv_SI(i,j,bi,bj)+ |
413 |
& Zv_SI(i,j,bi,bj) |
414 |
ENDDO |
415 |
ENDDO |
416 |
ENDDO |
417 |
ENDDO |
418 |
|
419 |
DO bj = myByLo(myThid), myByHi(myThid) |
420 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
421 |
dot_p1_tile(bi,bj) = 0. _d 0 |
422 |
ENDDO |
423 |
ENDDO |
424 |
|
425 |
DO bj = myByLo(myThid), myByHi(myThid) |
426 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
427 |
DO j=1,sNy |
428 |
DO i=1,sNx |
429 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
430 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Ru_SI(i,j,bi,bj)**2 |
431 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
432 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Rv_SI(i,j,bi,bj)**2 |
433 |
ENDDO |
434 |
ENDDO |
435 |
ENDDO |
436 |
ENDDO |
437 |
|
438 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
439 |
resid = sqrt(dot_p1) |
440 |
|
441 |
! IF (iter .eq. 1) then |
442 |
! print *, alpha_k, beta_k, resid |
443 |
! ENDIF |
444 |
|
445 |
cg_halo = cg_halo - 1 |
446 |
|
447 |
if (cg_halo .eq. 0) then |
448 |
cg_halo = min(OLx-1,OLy-1) |
449 |
_EXCH_XY_RL( Du_SI, myThid ) |
450 |
_EXCH_XY_RL( Dv_SI, myThid ) |
451 |
_EXCH_XY_RL( Ru_SI, myThid ) |
452 |
_EXCH_XY_RL( Rv_SI, myThid ) |
453 |
_EXCH_XY_RL( cg_Uin, myThid ) |
454 |
_EXCH_XY_RL( cg_Vin, myThid ) |
455 |
endif |
456 |
|
457 |
endif |
458 |
enddo ! end of CG loop |
459 |
|
460 |
c to avoid using "exit" |
461 |
c if iters has reached max_iters there is no convergence |
462 |
|
463 |
IF (iters .lt. streamice_max_cg_iter) THEN |
464 |
conv_flag = 1 |
465 |
ENDIF |
466 |
|
467 |
DO bj = myByLo(myThid), myByHi(myThid) |
468 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
469 |
DO j=1-OLy,sNy+OLy |
470 |
DO i=1-OLy,sNx+OLy |
471 |
IF (STREAMICE_umask(i,j,bi,bj).eq.3.0) |
472 |
& cg_Uin(i,j,bi,bj)=u_bdry_values_SI(i,j,bi,bj) |
473 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.3.0) |
474 |
& cg_Vin(i,j,bi,bj)=v_bdry_values_SI(i,j,bi,bj) |
475 |
ENDDO |
476 |
ENDDO |
477 |
ENDDO |
478 |
ENDDO |
479 |
|
480 |
_EXCH_XY_RL( cg_Uin, myThid ) |
481 |
_EXCH_XY_RL( cg_Vin, myThid ) |
482 |
|
483 |
#endif |
484 |
RETURN |
485 |
END |
486 |
|
487 |
|
488 |
|
489 |
|
490 |
|
491 |
|
492 |
|
493 |
|